Solve for n
n\geq 5
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-7n+31\leq -2n+6
Use the distributive property to multiply -2 by n-3.
-7n+31+2n\leq 6
Add 2n to both sides.
-5n+31\leq 6
Combine -7n and 2n to get -5n.
-5n\leq 6-31
Subtract 31 from both sides.
-5n\leq -25
Subtract 31 from 6 to get -25.
n\geq \frac{-25}{-5}
Divide both sides by -5. Since -5 is negative, the inequality direction is changed.
n\geq 5
Divide -25 by -5 to get 5.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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4 \sin \theta \cos \theta = 2 \sin \theta
Linear equation
y = 3x + 4
Arithmetic
699 * 533
Matrix
\left[ \begin{array} { l l } { 2 } & { 3 } \\ { 5 } & { 4 } \end{array} \right] \left[ \begin{array} { l l l } { 2 } & { 0 } & { 3 } \\ { -1 } & { 1 } & { 5 } \end{array} \right]
Simultaneous equation
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
Differentiation
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Limits
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}